$MathMaster logo$

MathMaster

Home
general
juan has 2 ropes of 180m and 240m respectively you want to cut both ropes into equal pieces what is the maximum length tha

Question

Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

245

likes

1227 views

Answer to a math question Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

$Expert avatar$

4.7

86 Answers

Encontremos la longitud máxima de cada trozo que Juan puede obtener cortando las cuerdas en segmentos iguales. Longitudes de cuerda: Juan tiene dos cuerdas: una tiene 180 metros de largo y la otra 240 metros de largo. Máximo común divisor (MCD): para determinar la longitud máxima de cada pieza, calcularemos el máximo común divisor (MCD) de las longitudes de las cuerdas. El MCD representa la longitud más grande que divide uniformemente ambas cuerdas. Cálculo del MCD: El MCD de 180 y 240 es de 60 metros. Longitud Máxima de Cada Pieza: Juan puede cortar ambas cuerdas en trozos iguales de 60 metros cada uno. Numero de piezas: Para la cuerda de 180 metros, Juan obtendrá 3 trozos (180 ÷ 60 = 3). Para la cuerda de 240 metros, Juan obtendrá 4 trozos (240 ÷ 60 = 4). En resumen, Juan podrá obtener piezas de 60 metros cada una, y tendrá un total de 7 piezas (3 de la cuerda de 180 metros y 4 de la cuerda de 240 metros).

Frequently asked questions (FAQs)

What is the cosine of the angle whose tangent is 3?

+

What is the slope-intercept form of a line passing through points (2, 5) and (4, 9)?

+

What are the asymptotes of the exponential functions f(x) = 10^x and f(x) = e^x?

+

New questions in Mathematics

(x^2+3x)/(x^2-9)=

How do you think the company has increased or decreased its income?

4.2x10^_6 convert to standard notation

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

2x2 and how much?

During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1−(1/2)*cos(πt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.

Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=

The simple average of 15 , 30 , 40 , and 45 is

What is 75 percent less than 60

The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom

A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.

We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]

Determine the kinetic energy of a baseball whose mass is 100 grams and has a speed of 30 m/s.

2 - 6x = -16x + 28

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

calculate the product of 4 and 1/8

9n + 7(-8 + 4k) use k=2 and n=3